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Finding the Fourth Proportional to 76,965.52, 106,147.56 and 59,103.76

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Solution

The fourth proportional to 76,965.52, 106,147.56 and 59,103.76 is: 81,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.52 : 106,147.56 = 59,103.76 : x
  2. Step 2: Convert to fraction form
    76,965.52/106,147.56 = 59,103.76/x
  3. Step 3: Cross multiply
    76,965.52x = 106,147.56 × 59,103.76
  4. Step 4: Simplify right side
    76,965.52x = 6,273,719,910.83
  5. Step 5: Solve for x
    x = 6,273,719,910.83/76,965.52
  6. Step 6: Final answer
    x = 81,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.